Finding the Third Proportional to 10,138 and 13,802

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 13,802 = 13,802 : x
2. Step 2: Convert to fraction form
   10,138/13,802 = 13,802/x
3. Step 3: Cross multiply
   10,138x = 13,802 × 13,802
4. Step 4: Simplify right side
   10,138x = 190,495,204
5. Step 5: Solve for x
   x = 190,495,204/10,138
6. Step 6: Final answer
   x = 18,790.22